Question

A, B and C working separately can do a work in 2, 3 and 4 days respectively, If they all work together and earn Rs. 7800 for the whole work, how should they divide the money?​

Answer 1

Step-by-step explanation:

a 1 day work = 1/2

b 1 day work = 1/3

c 1 day work= 1/4

ABC together 1 day work = 1/2,1/3,1/4 = 1/2 = 6+4+3+/12 = 13/12

ABC will complete the work in 12/13 days

ratio of ABC 1 day work

a:b:c

= 1/2,1/3,1/4

= 6:4:3 ( multiply by 12 )

let x be common multiplier

ABC income respectively

6x ,4x ,3x

total income = 6x +4x + 3x = 13x

3x = 3100

X = 300

a = 6x =6*300 = 1800

b = 4x = 4*300 = 1200

c = 3x = 3* 300 = 900

Thank you ☺️